<p>fogfog - there is nothing “quick” about trying to figure this out! It has been a bunch of years since I’ve taken stats. i’m cutting and pasting part of a reference doc that i saved in the subject. I did an AI calc for my son a while back to see where he landed. That was exhausting ! ;-)</p>
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<p>"Bands at each school are defined by the statistical make-up of the school’s current freshman class. In each school, therefore, the numbers associated with the bands differ. The universal rules that define the bands are as follows : </p>
<p>High band: This bands starts with the school’s mean Academic Index, and ranges down to one standard deviation below the mean. (“Standard deviation” is defined as measure of the range of variation within a group. Typically, 68% of all data points fall within one standard deviation; 95% fall within two. In the case of the Ivy League Academic Index, one standard deviation reportedly varies from 12-16 points per
school.)</p>
<p>Medium band: Goes from one standard deviation to two standard deviations below the mean.</p>
<p>Low band: Goes from two standard deviations to two-and-a-half standard deviations below the mean.</p>
<p>Low-Low band: Ranges from two-and-a-half standard deviations down to the minimum A.I. of 171.</p>
<p>Using this system, an Ivy League school with a mean Academic Index of 210 and a standard deviation of 14 would have its bands defined as follows:</p>
<p>High: 197-210
Med: 183-196
Low: 176-182
Low-Low: 171-175</p>
<p>Ivy League schools rarely, if ever, publish their mean A.I.s. Under the rules of the system, no school can admit more than 30 football players per year. Moreover, the
schools must specifically show that prescribed numbers of recruited players fall into the bands as follows:</p>
<p>High band: 8 players
Med. band: 13 players
Low band: 7 players
Low-Low: 2 players</p>
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<p>Based upon the info above, football has to follow band guidelines too. Whether or not this applies to other “helmet” sports, I have no idea.</p>
<p>Fenwaysouth</p>